MAE 6370 - Singular Perturbation Theory

Effective Start Date: 03/01/2009
Analyzes regular perturbations, roots of polynomials; singular perturbations in ODE’s, periodic solutions of simple nonlinear differential equations; multiple-Scales method; WKBJ approximation; turning-point problems; Langer’s method of uniform approximation; asymptotic behavior of integrals, Laplace Integrals, stationary phase, steepest descents. Examples are drawn from physical systems. Prerequisite: Familiarity with complex analysis.

Credits: 3
Grading Basis: Student Option